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arXiv · 0903.1590

Pontryagin numbers and nonnegative curvature

D. Kotschick
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Abstract

We prove that any rational linear combination of Pontryagin numbers that is not a multiple of the signature is unbounded on connected closed oriented manifolds of nonnegative sectional curvature. Combining our result with Gromov's finiteness result for the signature yields a new characterization of the L-genus.

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D. Kotschick. 2011-09-04. Pontryagin numbers and nonnegative curvature. https://doi.org/10.1515/crelle.2010.068

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